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Finding the Third Proportional to 305,816,511,332 and 425,213,414,234

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Solution

The third proportional to 305,816,511,332 and 425,213,414,234 is: 591,225,263,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,816,511,332 : 425,213,414,234 = 425,213,414,234 : x
  2. Step 2: Convert to fraction form
    305,816,511,332/425,213,414,234 = 425,213,414,234/x
  3. Step 3: Cross multiply
    305,816,511,332x = 425,213,414,234 × 425,213,414,234
  4. Step 4: Simplify right side
    305,816,511,332x = 180,806,447,644,535,274,078,208
  5. Step 5: Solve for x
    x = 180,806,447,644,535,274,078,208/305,816,511,332
  6. Step 6: Final answer
    x = 591,225,263,989.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.